At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

The computer that discovered M32582657 was commwd-102--04l.
It was in Wood 102, a computer lab of 20 computers for the
Department of Communication at CMSU. Coincidentally, the
computer that discovered M30402457 was commwd-102--07l,
also in Wood 102!

Every Mersenne number less than this one has been checked
once for primality by GIMPS (by December 25, 2010), and
then checked again (GIMPS, November 8, 2014). Single checks
have a relatively high error rate (a couple percent), but
after a second check the residues from the two checks can
be compared so the the error rate is extremely small.

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the
integrity of this list, we seek to verify the primality of all submissions.
We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial
divide and PRP
check every entry before it is included in the list.